Finding the Third Proportional to 80,882 and 175,507

Step by Step Solution

1. Step 1: Write the proportion equation
   80,882 : 175,507 = 175,507 : x
2. Step 2: Convert to fraction form
   80,882/175,507 = 175,507/x
3. Step 3: Cross multiply
   80,882x = 175,507 × 175,507
4. Step 4: Simplify right side
   80,882x = 30,802,707,049
5. Step 5: Solve for x
   x = 30,802,707,049/80,882
6. Step 6: Final answer
   x = 380,835.13